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Finding the Fourth Proportional to 336.96, 504.33 and 305.82

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Solution

The fourth proportional to 336.96, 504.33 and 305.82 is: 457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.96 : 504.33 = 305.82 : x
  2. Step 2: Convert to fraction form
    336.96/504.33 = 305.82/x
  3. Step 3: Cross multiply
    336.96x = 504.33 × 305.82
  4. Step 4: Simplify right side
    336.96x = 154,234.20
  5. Step 5: Solve for x
    x = 154,234.20/336.96
  6. Step 6: Final answer
    x = 457.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.